where \(T^{(o,1)}\)  includes contributions from both \(V_0\)  and the perturbative operator \(O\) . In this approach, the expressions for \(\alpha _d\) , \(\alpha _q\)  and \(B\)  are given by [1]}, [2]}, [3]}
\(\alpha _d = 2 \frac{\langle \Phi _0 | e^{T^{(0)\dagger }} D e^{T^{(0)}} T^{(d,1)} | \Phi _0 \rangle }{\langle \Phi _0 | e^{T^{(0)\dagger }} e^{T^{(0)}} | \Phi _0 \rangle } , \\\alpha _q = 2 \frac{\langle \Phi _0 | e^{T^{(0)\dagger }} Q e^{T^{(0)}} T^{(q,1)} | \Phi _0 \rangle }{\langle \Phi _0 | e^{T^{(0)\dagger }} e^{T^{(0)}} | \Phi _0 \rangle }\) 
